The supervisor of a dairy milk chocolate factory has observed that the weight of each 32g chocolate bar is actually a normally distributed random variable, with a mean of 32.2g and a standard deviation of 0.3g. a) Find the probability that if a customer buys ne chocolate bar, that bar will weigh less than 32g. b) Find the probability that, if a customer buys a pack of four bars, the mean weight of the four bars will be less than 32g. c) Find the probability that, if a customer buys a pack of four bars, the mean weight of the four bars will be greater than 32g.

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The supervisor of a dairy milk chocolate factory has observed that the weight of each 32g
chocolate bar is actually a normally distributed random variable, with a mean of 32.2g and a
standard deviation of 0.3g.
a) Find the probability that if a customer buys ne chocolate bar, that bar will weigh less than 32g.
b) Find the probability that, if a customer buys a pack of four bars, the mean weight of the four
bars will be less than 32g.
c) Find the probability that, if a customer buys a pack of four bars, the mean weight of the four
bars will be greater than 32g.

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